Ultra stable Matter wave gyroscopy using Orbital Angular Momentum induces atomic vortices

It has long been known that matter-wave gyroscopes are orders of magnitude more sensitive that optical gyroscopes. The creation of matter-wave currents that can achieve such sensitivity is a continuing challenge. We propose the use of Optical Angular Momentum (OAM) induced vortices in Bose-Einstein Condensates (BECs) as an ideal candidate for quantum gyroscopy. Coherent superpositions of left and right rotating quantum states of a trapped condensate lead to an interference pattern that rotates when the trap rotates---in accordance with the Sagnac effect. Two important benchmarks for any gyroscope are it's sensitivity and stability. Atomic beam gyroscopes while having high sensitivity (10$^{-9}$s$^{-1}$ Hz$^{-1/2})$, also suffer from instability due to drift caused by difficulties in beam pointing and thermal expansion of atom beams. Since the sensitivity of a gyroscope utilizing the Sagnac effect is directly proportional to the area (or atomic beam path lengths) of the interferometer, there is trade-off between sensitivity and stability. While focusing on the new application of BEC vortex superposition, we find that it leads to a highly stable gyroscope. We will also comment on increasing the sensitivity of the gyroscope without sacrificing stability.